Search a number
-
+
131166145134060 = 223525744621190633
BaseRepresentation
bin11101110100101101111111…
…011111001011110111101100
3122012102100202011211000102120
4131310231333133023313230
5114143011231123242220
61142544521211152540
736425304231614451
oct3564557737136754
9565370664730376
10131166145134060
1138880282485473
1212864a64745750
135825bb6c7052a
142456692307828
151026dec002a40
hex774b7f7cbdec

131166145134060 has 96 divisors (see below), whose sum is σ = 368704450763712. Its totient is φ = 34840575344640.

The previous prime is 131166145134043. The next prime is 131166145134097. The reversal of 131166145134060 is 60431541661131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687960504 + ... + 688151136.

It is an arithmetic number, because the mean of its divisors is an integer number (3840671362122).

Almost surely, 2131166145134060 is an apocalyptic number.

131166145134060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131166145134060 is an abundant number, since it is smaller than the sum of its proper divisors (237538305629652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131166145134060 is a wasteful number, since it uses less digits than its factorization.

131166145134060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235523 (or 235521 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

Adding to 131166145134060 its reverse (60431541661131), we get a palindrome (191597686795191).

The spelling of 131166145134060 in words is "one hundred thirty-one trillion, one hundred sixty-six billion, one hundred forty-five million, one hundred thirty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 257 514 771 1028 1285 1542 2570 3084 3855 5140 7710 15420 44621 89242 133863 178484 190633 223105 267726 381266 446210 535452 571899 669315 762532 892420 953165 1143798 1338630 1906330 2287596 2677260 2859495 3812660 5718990 11437980 11467597 22935194 34402791 45870388 48992681 57337985 68805582 97985362 114675970 137611164 146978043 172013955 195970724 229351940 244963405 293956086 344027910 489926810 587912172 688055820 734890215 979853620 1469780430 2939560860 8506235093 17012470186 25518705279 34024940372 42531175465 51037410558 85062350930 102074821116 127593526395 170124701860 255187052790 510374105580 2186102418901 4372204837802 6558307256703 8744409675604 10930512094505 13116614513406 21861024189010 26233229026812 32791536283515 43722048378020 65583072567030 131166145134060